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arXiv · 2105.02483

Covering Convex Polygons by Two Congruent Disks

Jongmin Choi·Dahye Jeong·Hee-Kap Ahn
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Abstract

We consider the planar two-center problem for a convex polygon: given a convex polygon in the plane, find two congruent disks of minimum radius whose union contains the polygon. We present an $O(n\log n)$-time algorithm for the two-center problem for a convex polygon, where $n$ is the number of vertices of the polygon. This improves upon the previous best algorithm for the problem.

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Jongmin Choi, Dahye Jeong, Hee-Kap Ahn. 2021-05-06. Covering Convex Polygons by Two Congruent Disks. https://arxiv.org/abs/2105.02483

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